Q-INTEGRALS ON THE QUANTUM COMPLEX-PLANE

被引：11

作者：

BRZEZINSKI, T ^{[1
]}

REMBIELINSKI, J ^{[1
]}

机构：

[1] UNIV LODZ,INST PHYS,PL-90236 LODZ,POLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 07期

关键词：

D O I：

10.1088/0305-4470/25/7/033

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

q-integration is defined for the complex quantum plane. The existence of classical and Grassmanian limits of q-integration is proved. Quantum versions of Cauchy's and Stokes' theorems are formulated.

引用

页码：1945 / 1952

页数：8

共 12 条

[1] ON THE QUANTUM DIFFERENTIAL-CALCULUS AND THE QUANTUM HOLOMORPHICITY [J].

BRZEZINSKI, T ;

DABROWSKI, H ;

REMBIELINSKI, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (01) :19-24

[2]

BRZEZINSKI T, 1991, HOPF ALGEBRA STRICTL

[3] A COMPLETENESS RELATION FOR THE Q-ANALOG COHERENT STATES BY Q-INTEGRATION [J].

GRAY, RW ;

NELSON, CA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (18) :L945-L950

[4] QUASITRIANGULAR HOPF-ALGEBRAS AND YANG-BAXTER EQUATIONS [J].

MAJID, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (01) :1-91

[5]

REMBIELINSKI J, 1991, LECTURES U SAPIENZA

[6]

RUDIN W, REAL COMPLEX ANAL

[7] INTEGRALS FOR HOPF ALGEBRAS [J].

SWEEDLER, ME .

ANNALS OF MATHEMATICS, 1969, 89 (02) :323-&

[8] COMPACT MATRIX PSEUDOGROUPS [J].

WORONOWICZ, SL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (04) :613-665

[9] UNBOUNDED ELEMENTS AFFILIATED WITH C-STAR-ALGEBRAS AND NONCOMPACT QUANTUM GROUPS [J].

WORONOWICZ, SL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 136 (02) :399-432

[10] TWISTED SU(2) GROUP - AN EXAMPLE OF A NONCOMMUTATIVE DIFFERENTIAL-CALCULUS [J].

WORONOWICZ, SL .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1987, 23 (01) :117-181

← 1 2 →